针对数据包在网络传输中的随机时延情形,研究任意切换律作用下离散切换系统的H∞静态输出反馈问题.数据包包含系统的测量输出信号和切换信号,其时延由一个满足Bernou lli分布的随机变量来描述.选用切换Lyapunov函数,设计静态输出反馈控制器使得闭环系统在均方意义下指数稳定且具有H∞扰动衰减度γ.控制器的参数通过求解一组线性矩阵不等式获得.数值仿真结果表明了所提出设计方法的有效性.
Under the condition of random communication delays,the H ∞ static output feedback problem is investigated for a class of discrete time switched systems with arbitrary switching laws.The delay of data packets include the measured output and the switched signal.The delays satisfy the Bernoulli random binary distribution.By using switched Lyapunov function technique,the output feedback controllers are obtained.The closed-loop systems are asymptotically mean-square stable and satisfy the prescribed H ∞ performance constraint. The controller parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is provided to iUustrate the usefulness of the proposed design method.